Natural heat exchange in inhomogeneous porous medium using linear and quadratic porosity distribution

2020 ◽  
pp. 106731
Author(s):  
Qingang Xiong ◽  
H.R. Zahiri poor ◽  
Mohsen Izadi ◽  
Ehsanolah Assareh
Keyword(s):  
Porous Medium ◽  
Heat Exchange ◽  
Porosity Distribution ◽  
Inhomogeneous Porous Medium

The equations of immiscible viscous displacement in a porous medium

1981 ◽  
Vol 59 (1) ◽  
pp. 45-56 ◽  
Author(s):  
T. J. T. Spanos
Keyword(s):  
Porous Medium ◽  
Statistical Theory ◽  
Boundary Conditions ◽  
Initial Conditions ◽  
Continuum Theory ◽  
Immiscible Displacement ◽  
Macroscopic Scale ◽  
Inertial Terms ◽  
Inhomogeneous Porous Medium ◽  
Relative Motions

A statistical theory for the construction of the equations of viscous displacement in a porous medium is considered. This yields a continuum theory for immiscible displacement which can be applied to either a homogeneous or inhomogeneous porous medium. The relative motions of the fluid are considered in terms of the motion of surfaces of constant saturation which are smoothed surfaces at the macroscopic scale considered. The boundary conditions and initial conditions at the injection boundary are considered as well as the boundary conditions and breakthrough conditions at the recovery boundary and the side boundary conditions. The inertial terms are included in the equations and shown to be of importance in describing these initial conditions and the breakthrough conditions.

scholarly journals A class of exactly solvable free-boundary inhomogeneous porous medium flows

2007 ◽  
Vol 20 (1) ◽  
pp. 93-97 ◽  
Author(s):  
S.D. Howison ◽  
I. Loutsenko ◽  
J.R. Ockendon
Keyword(s):  
Porous Medium ◽  
Free Boundary ◽  
Exactly Solvable ◽  
Inhomogeneous Porous Medium

Stationary Filtration in a Fractal Inhomogeneous Porous Medium

2005 ◽  
Vol 78 (4) ◽  
pp. 832-834
Author(s):  
B. A. Suleimanov ◽  
E. M. Abbasov ◽  
A. O. Efendieva
Keyword(s):  
Porous Medium ◽  
Inhomogeneous Porous Medium

The Interfaces of an Inhomogeneous Porous Medium Equation with Convection

2006 ◽  
Vol 31 (4) ◽  
pp. 497-514 ◽  
Author(s):  
Raúl Ferreira ◽  
Arturo de Pablo ◽  
Guillermo Reyes ◽  
Ariel Sánchez
Keyword(s):  
Porous Medium ◽  
Porous Medium Equation ◽  
Medium Equation ◽  
Inhomogeneous Porous Medium
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